Of these monads the number is infinite.
Finally, he explained the concomitance of these two series, as well as that between the perceptions of different monads, by supposing a pre-established harmony ordained by the primitive monad, God.
This would lead to the view of Leibnitz, that the world consists of monads, self-sufficient beings, leading an inner life.
Leibnitz, in accord with the distinctive principle of his philosophy, affirmed the absolute independence of mind and body as distinct monads, the parallelism of their functions in life being due to the pre-established harmony.
For the soul, by its nature as a single monad indestructible and, therefore, immortal, death meant only the loss of the monads constituting the body and its return to the pre-existent state.
The more Spinozistic side of Leibnitz's thought - God as Monad of Monads - is a theistic postulate if hardly a theistic proof.
The elementary parts of existence are the minima, or monads, which are at once material and mental.
More than this, Leibnitz supposes that the activity of the monads takes the form of a self-evolution.
4 While 2 Both Lewes and du Bois Reymond have brought out the points of contact between Leibnitz's theory of monads and modern biological speculations (Hist.
3 Leibnitz's doctrine of continuity necessarily led him in the same direction; and, of the infinite multitude of monads with which he peopled the world, each is supposed to be the focus of an endless process of evolution and involution.
Empiricism in the metaphysical system of Leibnitz, whose theory of self-determined monads can be understood only when taken in the light of the assertion of the rights of the subject against the substance of Spinoza and the atoms of the materialist.
Leibnitz, again, having become equally dissatisfied with Cartesianism, Spinozism and the Epicurean realism of Gassendi, in the latter part of his life came still nearer than Spinoza to metaphysical idealism in his monadology, or half-Pythagorean,half-Brunistic analysis of bodies into monads, or units, or simple substances, indivisible and unextended, but endowed with perception and appetite.
From these two arbitrary hypotheses about corporeal motion, that it requires indivisibly simple elements, and that it offers only passive resistance, he concluded that behind bodies there must be units, or monads, which would be at once substantial, simple, indivisible and active.
He further supposed that the monads are " incorporeal automata," not interacting like bodies, but each perceiving what was passing in the other, and acting in consequence by appetite, or self-acting.
Such mentally endowed substances might be called souls; but, as he distinguished between perception and apperception or consciousness, and considered that perceptions are often unconscious, he preferred to divide monads into unconscious entelechies of inorganic bodies, sentient souls of animals, and rational souls, or spirits, of men; while he further concluded that all these are derivative monads created by God, the monad of monads.
All derivative monads, he allowed, are accompanied by bodies, which, however, are composed of other monads dominated by a central monad.
Further, he explained the old Cartesian difficulty of the relation of body and mind by transforming the Spinozistic parallelism of extension and thought into a parallelism between the motions of bodies and the perceptions of their monads; motions always proceeding from motions, and perceptions from perceptions; bodies acting according to efficient causes, and souls according to final causes by appetition, and as if one influenced the other without actually doing so.
According to one alternative, which consistently flowed from the psychological idealism of Descartes, as well as from his own monadism, he suggested that bodies are real phenomena; phenomena, because they are aggregates of monads, which derive their unity only from appearing together to our perceptions; real phenomena well founded, because they result from real monads.
In support of this view, he said that bodies are not substances, though substantiata; that their apparent motion and resistance are results of the passions of their monads; that their primary matter is nothing but passive power of their monads; that the series of efficient causes between them is merely phenomenal.
According to this alternative, then, there is nothing but mental monads and mental phenomena; and Leibnitz is a metaphysical idealist.
According to the other alternative, however, he suggested that at least organic bodies are compound or corporeal substances, which are not phenomena; but something realizing or rather substantializing phenomena, and not mere aggregates of monads, but something substantial beyond their monads, because an organic body, though composed of monads, has a real unity (unio realis).
He suggested that this theory of the substantial unity of a body might explain transubstantiation, by supposing that, while the monads and phenomena of bread remain, the vinculum substantiale of the body of Christ is substituted.
He feared also whether we can explain the mystery of the Incarnation, and other things, unless real bonds or unions are added to monads and phenomena.
According to this alternative, these organic bodies are compound or corporeal substances, between monads and phenomena; and Leibnitz is a metaphysical realist.
But, whereas Leibnitz imputed unconscious perception as well as unconscious appetition to monads, Schopenhauer supposed unconscious will to arise without perception, without feeling, without ideas, and to be the cause of ideas only in us.
The metaphysical conception of the monads, each of which is the universe in nuce, presents insuperable difficulties when the connexion or interdependence of the monads is in question, and these difficulties obtrude themselves when the attempt is made to work out a consistent doctrine of cognition.
According to Leibnitz, space, the order of coexisting things, resulted from the relations of monads to one another.
But inasmuch as the agreement between the acts of Leibnitz's monads is due to a divine pre-established harmony, and the theoretical contingency which in the abstract, i.e.
2 From the purely logical thesis, developed at quite an early stage of his thinking, 3 that in any true proposition the predicate is contained in the subject, the main principles of his doctrine of Monads are derivable with the minimum of help from his philosophy of dynamics.
Herbart and Lotze, both deeply affected by the Leibnitzian hypothesis of indivisible monads, supposed that man's soul is seated at a central point in the brain; and Lotze supposed that this supposition is necessary to explain the unity of consciousness.
But, in thus adapting to his own purposes the Leibnitzian analysis of material into immaterial, he drew his own conclusions according to his own metaphysics, which required that the supposed centres of force are not Leibnitzian " monads," nor Herbartian " reals," nor divine modifications such as Lotze afterwards supposed, but are elements of a system which in outer aspect is bodily and in inner aspect is spiritual, and obeying laws of spirit.
Indeed, Fichte had previously characterized the life of the Absolute by reason and will without consciousness; and, before Fichte, Leibnitz had asserted that the elements of Nature are monads with unconscious perception and appetition.
He accepted the Leibnitzian fallacy that unity is indivisibility, which led to the Leibnitzian analysis of material bodies into immaterial monads, indivisible and therefore unextended, and to the theory of monadic souls and entelechies.